分析旋转薄壳的传递矩阵法  

A TRANSFER-MATRIX METHOD FOR ANALYZING REVOLUTIONARY SHELLS

作　　者：苏海东[1] 黄玉盈[2] 

机构地区：[1]长江科学院材料与结构研究所,武汉430010 [2]华中科技大学土木工程与力学学院,武汉430074

出　　处：《工程力学》2008年第9期1-6,12,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(10662003);高校博士点基金项目(20040487013);广西省自然科学基金项目(桂科自0339019)

摘　　要：基于一般线弹性薄壳理论,首次导出了旋转壳体状态向量的一阶常微分矩阵方程,此方程是一般旋转壳的传递矩阵法分析所必需的。借助齐次扩容技术和精细积分,应用推广的传递矩阵法对旋转薄壳的静动力问题进行了数值求解。算例结果表明:提出的一套解法不仅精度良好,而且具有较高的计算效率;它为分析变厚度旋转壳的各类问题寻求一种半解析方法奠定了基础。Based on the general governing equations of elastic thin shells, 1-order ordinary differential matrix equation for the state vector of revolutionary shells is firstly derived. This equation is essential for using transfer-matrix method to analyze general revolutionary shells. By means of the extended homogeneous capacity high precision integration method, static and dynamic solutions are obtained conveniently. Several examples demonstrate the validity and high efficiency of the proposed method. This approach extends the research of the transfer-matrix method, and lays the foundation of the semi-analytical research of structural vibration and acoustics for revolution shells with variable thickness.

关 键 词：旋转薄壳 传递矩阵法 静动力分析 一阶状态向量常微分方程 齐次扩容精细积分法 

分 类 号：O343[理学—固体力学] TU334[理学—力学]